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ICSE Class 10 Answered

A can do a piece of work in 'x' days and B can do the same work in (x+16)days . If both working togather can do it in 15 days;calculate 'x'.
Asked by hermanlakra93 | 23 Sep, 2018, 06:33: PM
answered-by-expert Expert Answer
According to the conditions:
begin mathsize 16px style 1 over straight x space plus space fraction numerator 1 over denominator straight x space plus space 16 space end fraction space equals space 1 over 15 rightwards double arrow fraction numerator straight x space plus space 16 space plus space straight x over denominator straight x left parenthesis straight x space plus space 16 right parenthesis end fraction space space equals space fraction numerator begin display style 1 end style over denominator begin display style 15 end style end fraction rightwards double arrow 15 left parenthesis 2 straight x space plus space 16 right parenthesis space equals space straight x squared space plus space 16 straight x rightwards double arrow straight x squared space plus space 16 straight x space minus space 30 straight x space minus 240 space equals space 0 rightwards double arrow straight x squared space minus 14 straight x space minus 240 space equals space 0 Find space the space factor space by space using space Factorisation space Method. rightwards double arrow straight x space equals space 24 space or space straight x space equals space minus 10 Number space of space days space can apostrophe straight t space ne space negative. rightwards double arrow straight x space equals space 24 end style
Answered by Yasmeen Khan | 24 Sep, 2018, 02:40: PM

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